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检索条件"主题词=Semidefinite Programming"
2472 条 记 录,以下是2431-2440 订阅
排序:
semidefinite programming: A path-following algorithm for a linear-quadratic functional
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SIAM JOURNAL ON OPTIMIZATION 1996年 第4期6卷 1007-1024页
作者: Faybusovich, L Department of Mathematics University of Notre Dame Mail Distribution Center Notre Dame IN 46556-5683 United States
We construct a class of path-following algorithms for solving semidefinite problems with linear-quadratic functionals. Complexity estimates similar to the best known for the case of the standard convex quadratic progr... 详细信息
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An interior-point method for semidefinite programming
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SIAM JOURNAL ON OPTIMIZATION 1996年 第2期6卷 342-361页
作者: Helmberg, C Rendl, F Vanderbei, RJ Wolkowicz, H PRINCETON UNIV SCH ENGN & APPL SCIPRINCETONNJ 08544 UNIV WATERLOO DEPT COMBINATOR & OPTIMIZATWATERLOOON N2L 3G1CANADA
We propose a new interior-point-based method to minimize a linear function of a matrix variable subject to linear equality and inequality constraints over the set of positive semidefinite matrices. We show that the ap... 详细信息
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Applications of second-order cone programming
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LINEAR ALGEBRA AND ITS APPLICATIONS 1998年 第1-3期284卷 193-228页
作者: Lobo, MS Vandenberghe, L Boyd, S Lebret, H Univ Calif Los Angeles Dept Elect Engn Los Angeles CA 90024 USA Stanford Univ Dept Elect Engn Informat Syst Lab Stanford CA 94305 USA Ecole Natl Super Tech Avancees Paris France
In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that include linear an... 详细信息
来源: 评论
Control applications of nonlinear convex programming
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JOURNAL OF PROCESS CONTROL 1998年 第5-6期8卷 313-324页
作者: Boyd, S Crusius, C Hansson, A Stanford Univ Dept Elect Engn Informat Syst Lab Stanford CA 94305 USA
Since 1984 there has been a concentrated effort to develop efficient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important property of these in... 详细信息
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On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues
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MATHEMATICS OF OPERATIONS RESEARCH 1998年 第2期23卷 339-358页
作者: Pataki, G Columbia Univ Dept Ind Engn & Operat Res New York NY 10027 USA
We derive some basic results on the geometry of semidefinite programming (SDP) and eigenvalue-optimization, i.e., the minimization of the sum of the k largest eigenvalues of a smooth matrix-valued function. We provide... 详细信息
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Optimizing dominant time constant in RC circuits
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IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS 1998年 第2期17卷 110-125页
作者: Vandenberghe, L Boyd, S El Gamal, A Univ Calif Los Angeles Dept Elect Engn Los Angeles CA 90095 USA Stanford Univ Dept Elect Engn Informat Syst Lab Stanford CA 94305 USA
Conventional methods for optimal sizing of wires and transistors use linear resistor-capacitor (RC) circuit models and the Elmore delay as a measure of signal delay. If the RC circuit has a tree topology, the sizing p... 详细信息
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Simultaneous constrained model predictive control and identification of DARX processes
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AUTOMATICA 1998年 第12期34卷 1521-1530页
作者: Shouche, M Genceli, H Vuthandam, P Nikolaou, M Texas A&M Univ Dept Chem Engn College Stn TX 77843 USA Univ Houston Dept Chem Engn Houston TX 77204 USA
In this work, we formulate a new approach to simultaneous constrained model predictive control and identification (MPCI). The proposed approach relies on the development of a persistent excitation (PE) criterion for p... 详细信息
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Robust convex optimization
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MATHEMATICS OF OPERATIONS RESEARCH 1998年 第4期23卷 769-805页
作者: Ben-Tal, A Nemirovski, A Technion Israel Inst Technol Fac Ind Engn & Management IL-32000 Haifa Israel
We study convex optimization problems for which the data is not specified exactly and it is only known to belong to a given uncertainty set U, yet the constraints must hold for all possible values of the data from U. ... 详细信息
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Multi-parameter surfaces of analytic centers and long-step surface-following interior point methods
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MATHEMATICS OF OPERATIONS RESEARCH 1998年 第1期23卷 1-38页
作者: Nesterov, Y Nemirovski, A CORE 1348 Louvain-la-Neuve Voie de Roman Pays 34 Belgium Fac. of Indust. Eng. and Management Technion - Israel Inst. of Technol. Technion City Haifa 32000 Israel
We develop a long-step polynomial time version of the Method of Analytic Centers for non-linear convex problems. The method traces a multi-parameter surface of analytic centers rather than the usual path, which allows... 详细信息
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An interior-point method for approximate positive semidefinite completions
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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 1998年 第2期9卷 175-190页
作者: Johnson, CR Kroschel, B Wolkowicz, H Coll William & Mary Dept Math Williamsburg VA 23187 USA Univ Waterloo Dept Combinator & Optimizat Waterloo ON N2L 3G1 Canada
Given a nonnegative, symmetric matrix of weights, H, we study the problem of finding an Hermitian, positive semidefinite matrix which is closest to a given Hermitian matrix, A, with respect to the weighting H. This ex... 详细信息
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